Applications of Derivatives  MCQs

MCQs of Applications of Derivatives

Showing 161 to 170 out of 266 Questions
14 15 16 17 18 19
161.
A tangent to a curve x+y=a at any point of the curve intersects the axes at the points P and Q respectively then OP + OQ = _____ .
(a) a2
(b) a
(c) 2a
(d) 4a
Answer:

Option (b)

162.
If the curves y = x2 + ax + b and y = x(c - x) touch each other at (1, 0) then _____ .
(a) a = -3, b = 2, c = 1
(b) a = 3, b = -2, c = 1
(c) a = -1, b = -3, c = 2
(d) a = 1, b = 2, c = 3
Answer:

Option (a)

163.
If a line (3 - a)x + ay + (a2 - 1) = 0 is a normal to the curve xy = 1 then the value of a is in the interval _____ .
(a) (-∞, 0) ∪ (3, ∞)
(b) (1, 3)
(c) (-3, 3)
(d) none
Answer:

Option (a)

164.
If a tangent to a curve x = t2 - 1, y = t2 - t is perpendicular to the X-axis then _____
(a) t = 0
(b) t = ∞
(c) t = 13
(d) t = -13
Answer:

Option (a)

165.
For a function f if f '(2) = 0 = f''(2) and f(x) has local maximum value at x = 2 is -17 then f(x) = _____ .
(a) (x - 2)4
(b) 3 - (x - 2)4
(c) -17 - (x - 2)4
(d) none
Answer:

Option (c)

166.
The radius of a circular metal plate when heated, increases by 2%. If its radius is 10 cm, then the increase in its area is _____.
(a) 4π cm2
(b) 4π cm
(c) 20π cm2
(d) 2π cm2
Answer:

Option (a)

167.
The rate of change of the volume of a sphere having radius r with respect to its surface area is _____
(a) 8πr
(b) 4πr2
(c) r2
(d) 2r
Answer:

Option (c)

168.
If f'x=x2+7,∀x∈R and f3=5, then the approximate value of f(3.1) is _____.
(a) 815
(b) 35
(c) 95
(d) 275
Answer:

Option (d)

169.
A function fx=e1x, x≠0 is _____ function.
(a) a decreasing
(b) an increasing
(c) increasing and decreasing
(d) None of the above
Answer:

Option (a)

170.
The formula connecting the periodic time T and length l of a pendulum is T=2πlg if there is an error of 2% in measuring the length l, the percentage error in T will be _____ .
(a) 1
(b) 2
(c) 3
(d) 12
Answer:

Option (a)

Showing 161 to 170 out of 266 Questions
14 15 16 17 18 19